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Calculate the square root of $2$
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$derivdef\left(\frac{5}{\sqrt{2}}a\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of 5/(2^1/2)a using the definition. Calculate the square root of 2. Divide 5 by \sqrt{2}. Find the derivative of \frac{5\sqrt{2}}{2}a using the definition. Apply the definition of the derivative: \displaystyle f'(x)=\lim_{h\to0}\frac{f(x+h)-f(x)}{h}. The function f(x) is the function we want to differentiate, which is \frac{5\sqrt{2}}{2}a. Substituting f(x+h) and f(x) on the limit, we get. Multiply the single term \frac{5\sqrt{2}}{2} by each term of the polynomial \left(a+h\right).